Y572 | 3442 | Monroe

This is a first eight weeks (1) credit hour, Pass/Fail graduate course. This course is a review of topics in mathematics that are particularly useful in the application of formal political theory and political methodology. Typical topics include Euclidean spaces and functions; sets, neighborhoods, sequences, and limits; derivatives; integrals; vectors and matrices; optimization. This course has no prerequisites. It is pitched directly at the typical political science graduate student whose mathematical training is limited to high school algebra and perhaps some calculus, although those with more substantial mathematics training may find particular topics to be new and a refresher on others helpful. Generally the course should be taken in the Spring semester of the first year. Students who intend to take Y573 (Introduction to Formal Theory) or Y577 (third in statistics series), and who do not have an equivalent background, should take this course prior to or concurrent with those; it is also recommended that it be taken prior to or concurrent with Y576 (second in statistics series). The course meets for one hour twice a week for eight weeks. There will be approximately 30 pages of technical reading a week. There will be problem sets each week to be worked on in the second meeting session of the week. For some of the problems, the computer program Maple will be used to help visualize and solve problems. No prior experience with Maple is necessary -- this computer training should provide students with a tool useful for future work. There are no exams and the course will be graded on a pass/fail basis.